Control of Quantum Systems Despite Feedback Delay

Author

Kashima, Kenji ; Yamamoto, Naoki

Author_Institution

Grad. Sch. of Inf. Sci. & Eng., Tokyo Inst. of Technol., Tokyo

Volume

54

Issue

4

fYear

2009

fDate

4/1/2009 12:00:00 AM

Firstpage

876

Lastpage

881

Abstract

Feedback control (based on the quantum continuous measurement) of quantum systems inevitably suffers from estimation delays. In this technical note we give a delay-dependent stability criterion for a wide class of nonlinear stochastic systems including quantum spin systems. We utilize a semi-algebraic problem approach to incorporate the structure of density matrices. To show the effectiveness of the result, we derive a globally stabilizing control law for a quantum spin-1/2 systems in the face of feedback delays.

Keywords

delays; discrete systems; feedback; matrix algebra; stability; delay-dependent stability criterion; density matrices; estimation delays; feedback control; feedback delay; globally stabilizing control law; nonlinear stochastic systems; quantum continuous measurement; quantum spin systems; quantum systems control; semi-algebraic problem approach; Control systems; Delay effects; Delay estimation; Delay systems; Differential equations; Feedback; Quantum mechanics; Stability criteria; Stochastic processes; Stochastic systems; Delay systems; filtering; quantum control; spin systems; sum of squares;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2008.2010969

Filename

4806147